Least Common Multiple of 672/26, 895/70, 858/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 672/26, 895/70, 858/296 quickly i.e. 43002960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 672/26, 895/70, 858/296 is 43002960.

LCM(672/26, 895/70, 858/296) = 43002960

LCM of 672/26, 895/70, 858/296

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 672/26,895/70,858/296

Given numbers are 672/26,895/70,858/296

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 672,895,858

Least Common Multiple of Numerators i.e. LCM of 672,895,858 is 86005920.

GCF of Denominators means GCF of 26,70,296 as per the given fractions.

GCF of 26,70,296 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 672,895,858

LCM of Fractions 672/26,895/70,858/296 is 43002960

2 672, 895, 858
3 336, 895, 429
112, 895, 143

∴ So the LCM of the given numbers is 2 x 3 x 112 x 895 x 143 = 86005920

Least Common Multiple of 672,895,858 with GCF Formula

Least Common Multiple of 672,895,858 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 672,895,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,895,858) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(672,895,858) x common factors =1 x 6 = 6

LCM(672,895,858) = ( 672 × 895 × 858 ) / 6

LCM(672,895,858) = 516035520 / 6

LCM(672,895,858) = 86005920


Lets's calculate GCF of 26,70,296

2 26, 70, 296
13, 35, 148

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86005920/2

Therefore the LCM of Fractions 672/26,895/70,858/296 is 43002960

Greatest Common Factor of 26,70,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,70,296 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 26,70,296 . The biggest common factor number is the GCF number.
So the greatest common factor 26,70,296 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 672/26, 895/70, 858/296

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 672/26, 895/70, 858/296?

Answer: LCM of Numerators as per given numbers 672/26, 895/70, 858/296 is

LCM of Numerators i.e. for 672,895,858 is 86005920

GCF of denominators i.e. for 26,70,296 is 2.

Thus, LCM of Fractions is 43002960.Finally, LCM of Fractions for 672/26, 895/70, 858/296 is 43002960.